# Tagged Questions

Bayesian inference is a method of statistical inference which uses Bayes' theorem to find probability estimates of parameters or hypotheses.

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### Hierarchical Bayesian analysis on difference of proportions

Why Hierarchical? : I've tried researching this problem, and from what I understand, this is a "hierarchical" problem, because you are making observations about observations from a population, rather ...
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### Estimating the impact of one variable on success rate given given another variable, and update it over time with data

I have a series of observations in which one or more events result in either a success or a failure, and that each of these events is categorized according to two variables: one which is fixed ...
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### Deriving posterior pdf in classical linear normal regression model under noninformative prior

Question: Assume the following classical linear normal regression model: \begin{gather*} y_{i} = \beta_1 x_{1i} + \beta_2 x_{2i} + \cdots + \beta_K x_{Ki} + e_i \\ \underbrace{\boldsymbol{y}}_{n ...
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### Independence test

I'm working on Bayesian Network and I need to find a broad range of statistical test for testing independence and conditional independence between 2 variables with a potential conditioning set of ...
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### Specifying Dirichlet prior in rjags

I am running the below mixing model using the rjags package in R, but I keep getting the error message ...
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### What is the belief parameter (nu)?

I am reading up on MCMCglmm in R using this course - could someone explain to me what the belief parameter is, it is first mentioned on page 12. I would like to understand it, and it's relationship to ...
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I currently try to understand Likelihood Principle and I frankly don't get it at all. So, I will write all my question as a list, even if those might be pretty basic questions. What exactly does ...
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### How can one perform a multilevel ANOVA in R?

I want to apply a multilevel analysis of variance, using Bayesian framework (as was proposed by Gelman, 2005). I wish to identify the main factors to be used together in a GAM model. In this case, ...
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### Can you test likelihood ratio between different models?

Supposing I have a Null hypothesis $H_{0}$ that my data comes from model $M_{1}$, with parameter $\theta = \theta_{1}$ (so that the model is parametrized as $M(\theta_{1})$ ), and an alternative ...